Darcie wants to crochet a minimum of
3
33 blankets to donate to a homeless shelter. Darcie crochets at a rate 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Graph the solution set to this inequality.😊
Let's call x the number of days Darcie wants to skip crocheting so she can volunteer.
The inequality we want to solve is:
(60 - x) * (1/15) ≥ 33
We can begin by multiplying both sides of the inequality by 15:
60 - x ≥ 33 * 15
Now we solve for x:
60 - x ≥ 495
-x ≥ 435
x ≤ -435
Since Darcie cannot skip a negative number of days, this inequality has no solution. This means that Darcie cannot both crochet at least 33 blankets and skip days for volunteering within the 60 days period.